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Simplifying 4(2y + 1) = 2(12 + y) Reorder the terms: 4(1 + 2y) = 2(12 + y) (1 * 4 + 2y * 4) = 2(12 + y) (4 + 8y) = 2(12 + y) 4 + 8y = (12 * 2 + y * 2) 4 + 8y = (24 + 2y) Solving 4 + 8y = 24 + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. 4 + 8y + -2y = 24 + 2y + -2y Combine like terms: 8y + -2y = 6y 4 + 6y = 24 + 2y + -2y Combine like terms: 2y + -2y = 0 4 + 6y = 24 + 0 4 + 6y = 24 Add '-4' to each side of the equation. 4 + -4 + 6y = 24 + -4 Combine like terms: 4 + -4 = 0 0 + 6y = 24 + -4 6y = 24 + -4 Combine like terms: 24 + -4 = 20 6y = 20 Divide each side by '6'. y = 3.333333333 Simplifying y = 3.333333333
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